JEE Main Counselling 2022: Check JoSAA Seat Allotment Result

September 30, 202239 Insightful Publications

**JEE Main Math Syllabus: **The National Testing Agency (NTA) prescribes the JEE Main Maths syllabus containing the detailed topics covered in the engineering entrance exam. Since the exam features lengthy and implication-based questions from Mathematics, candidates must refer to the Maths syllabus and practice mock tests to get well-versed with the subject and score well in the exam. JEE Main June Session was conducted from June 23 to 29, 2022, and July Session was organised between July 21 to 30, 2022. Students preparing for JEE Main 2023 exam must check out the detailed JEE Main Maths syllabus.

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Seeing the latest trends in the exams, it is safe to think that the JEE Main 2022 will be conducted in 2 sessions, i.e., June and July, in CBT mode at different test centres throughout the country and abroad. Looking at the exam pattern, it is expected that the Mathematics section will have 30 MCQs, out of which the candidate will need to answer 25 questions. Before we get into the details of the JEE Main Mathematics syllabus, let’s have an overview of the exam:

Exam Name | JEE Main |

Full-Form | Joint Entrance Exam Main |

Conducting Body | National Testing Agency (NTA) |

Frequency of Exam | 2 times a year (June and July) |

Exam Level | National Level |

Subjects | B.E./B.Tech:Mathematics, Physics, and Chemistry B.Arch:Maths – Part I, Aptitude Test – Part II, Drawing Test – Part III B.Plan:Maths – Part I, Aptitude Test – Part II, Planning Based MCQs – Part III |

Exam Date | First Session: June 23, 24, 25, 26, 27, 28, and 29, 2022 (Revised)July 21, 22, 23, 24, 25, 26, 27, 28, 29 and 30, 2022Second Session: |

Languages | 13 languages – Assamese, Bengali, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, Urdu, Hindi, English, and Gujarati |

Mode of Application | Online |

Mode of Exam | Computer-Based Test (CBT) Pen & paper-based offline test for B.Arch Drawing Test |

Question Type | Multiple Choice Questions Numerical Type Questions |

Exam Duration | Paper 1 – 3 Hours Paper 2 – 3 Hours and 30 Minutes |

Marking Scheme | +4 marks for each correct answer -1 Mark for every wrong answer (for MCQ and numerical-based questions) |

Official Website | jeemain.nta.nic.in |

The National Testing Agency (NTA) releases the JEE Mains Maths Syllabus in PDF format. Meanwhile, to start their preparation, candidates can find the Maths syllabus of JEE Mains tabulated below:

JEE Main Papers | JEE Main Maths Syllabus PDF Download Link |

Paper 1 – B. E or B. Tech | Download here |

Paper 2 – B. Arch/ B. Planning | Download here |

Candidates can check the detailed JEE Main 2022 Syllabus for Mathematics tabulated below:

Here are the section-wise JEE Main Maths Syllabus practice questions:

**Integral Calculus**

**Algebra**

S.No | Topic |

1 | Binomial Theorem |

2 | Complex Numbers |

3 | Mathematical Induction |

4 | Matrices and Determinants |

5 | Permutation and Combination |

6 | Progressions mki |

7 | Set Theory and Relations |

8 | Probability |

9 | Theory of Equation |

**Coordinate Geometry**

**Differential Calculus**

S.No | Topic |

1 | Continuity and Differentiability |

2 | Differential Coefficient |

3 | Differentiation and Application of Derivatives |

4 | Functions |

5 | Limits |

**Trigonometry**

S.No | Topic |

1 | Inverse Trigonometric Functions |

2 | Trigonometrical Equations and Inequations |

3 | Trigonometrical Ratios, Functions, and Identities |

**Statistics and Mathematical Reasoning**

S.No | Topic |

1 | Mathematical Reasoning |

Given below is the topic-wise weightage for JEE Main Paper 1 Maths Syllabus:

**JEE Main Maths Weightage for Paper 1**

Topics | Weightage |

Co-Ordinate Geometry | 5 |

Complex Numbers and Quadratic Equations | 2 |

Integral Calculus | 3 |

Three Dimensional Geometry | 2 |

Matrices and Determinants | 2 |

Sequences and Series | 1 |

Statistics and Probability | 2 |

Trigonometry | 1 |

Sets, Relations and Functions | 1 |

Permutations and Combinations | 1 |

Mathematical Induction | 1 |

Binomial Theorem and its simple applications | 1 |

Limit, Continuity and Differentiability | 3 |

Differential Equations | 1 |

Vector Algebra | 2 |

Mathematical Reasoning | 1 |

To score higher in JEE Main Maths, candidates must be aware of the important chapters for JEE Mains 2022 for Mathematics. Candidates can check the amount of input required to ace the exam.

**JEE Main Maths Syllabus 2022 – Chapter wise Weightage & Difficulty Level**

Embibe’s academic experts have divided the chapters based on the ‘weightage’ (importance to the exam) vs. the amount of input (the effort to learn and understand) required to master them.

Input Required | High Weightage | Low Weightage |

Low Input | 3 Dimensional Geometry Vectors Determinant & Matrices Sequence & Series Straight Line Circle Probability Distribution (Binomial + Mean & Variance) | Differential Equation Differentiation Trigonometric Equation Statistics Mathematical Logic Set & Relation Height & Distance |

High Input | Definite Integral & Area Under the Curve Limits, Continuity & Differentiability Functions Applications of Derivatives Conic Sections Complex Number Quadratic Equation Binomial Theorem & M.I | Trigonometric Ratio & Functions Properties of Triangle Permutation & Combination Indefinite Integral |

Check the JEE Mains Mathematics syllabus here:

**Sets, Relations, and Functions**

Unit | Topics |

Sets, Relations, and Functions | Sets and their representation Union, intersection, and complement of sets and their algebraic properties Power set Relation, Types of relations, equivalence relations, functions, one-one, into and onto functions, the composition of functions |

**Complex Numbers and Quadratic Equations **

Unit | Topics |

Complex Numbers and Quadratic Equations | Complex numbers as ordered pairs of reals, Representation of complex numbers in the form (a+ib) and their representation in a plane Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality Quadratic equations in real and complex number systems and their solutions Relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots. |

**Matrices and Determinants **

Unit | Topics |

Matrices and Determinants | Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three Properties of determinants, evaluation of determinants, area of triangles using determinants Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices |

**Permutations And Combinations **

Unit | Topics |

Permutations And Combinations | The fundamental principle of counting Permutation as an arrangement and combination as selection Meaning of P (n,r) and C (n,r), simple applications |

**Mathematical Induction **

Unit | Topics |

Mathematical Induction | Principle of Mathematical Induction and its simple applications. |

**Binomial Theorem and its Simple Applications **

Unit | Topics |

Binomial Theorem and its Simple Applications | Binomial theorem for a positive integral index, general term, and middle term Properties of Binomial coefficients and simple applications. |

**Sequences and Series **

Unit | Topics |

Sequences and Series | Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M Sum up to n terms of special series: S n, S n2, Sn3. Arithmetic-Geometric progression. |

**Limit, Continuity and Differentiability **

Unit | Topics |

Limit, Continuity and Differentiability | Real – valued functions Algebra of functions Polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions Graphs of simple functions Limits, continuity and differentiability Differentiation of the sum, difference, product and quotient of two functions Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions Maxima and minima of functions of one variable, tangents and normals |

**Integral Calculus **

Unit | Topics |

Integral Calculus | Integral as an antiderivative Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities Integral as limit of a sum Fundamental Theorem of Calculus Properties of definite integrals. Evaluation of definite integrals Determining areas of the regions bounded by simple curves in standard form. Evaluation of simple integrals: |

**Differential Equations **

Unit | Topics |

Differential Equations | Ordinary differential equations, their order and degree Formation of differential equations Solution of differential equations by the method of separation of variables Solution of homogeneous and linear differential equations: (dy/dx) + p(x) y = q(x) |

**Coordinate Geometry **

Unit | Topics |

Coordinate Geometry | Cartesian system of rectangular co-ordinates 10 in a plane Distance formula Section formula Locus and its equation Translation of axes The slope of a line, parallel and perpendicular lines Intercepts of a line on the coordinate axes. Straight lines Various forms of equations of a line Intersection of lines Angles between two lines Conditions for concurrence of three lines Distance of a point from a line Equations of internal and external bisectors of angles between two lines, coordinates of the centroid Orthocentre and circumcentre of a triangle Equation of family of lines passing through the point of intersection of two lines. Circles, conic sections The standard form of the equation of a circle The general form of the equation of a circle, its radius and centre Equation of a circle when the endpoints of a diameter are given Points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle Equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms Condition for y = mx + c to be a tangent and point (s) of tangency. |

**Three Dimensional Geometry**

Unit | Topics |

Three Dimensional Geometry | Coordinates a point in space, Distance between two points Section formula Direction ratios and direction cosines The angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms At the intersection of a line and a plane, coplanar lines |

**Vector Algebra **

Unit | Topics |

Vector Algebra | Vectors and scalars, Addition of vectors Components of a vector in two dimensions and three-dimensional space Scalar and vector products Scalar and vector triple product. |

**Statistics and Probability **

Unit | Topics |

Statistics and Probability | Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, Probability distribution of a random variate, Bernoulli trials and Binomial distribution. |

**Trigonometry**

Unit | Topics |

Trigonometry | Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances |

**Mathematical Reasoning**

Unit | Topics |

Mathematical Reasoning | Statements, logical operations, and implies, implied by, if, and only if. Understanding of tautology, contradiction, converse, and contrapositive. |

Candidates appearing for JEE Main 2023 must be aware of the exam pattern and the type of questions asked in the exam.

**Changes Made in JEE Main Exam Pattern**

- The exam pattern for JEE Main Paper I will be announced shortly. The previous year’s JEE Main Paper 1 exam pattern had a total of 90 questions, 30 each from Physics, Chemistry, and Maths. Candidates were required to attempt 75 questions only.
- Each subject is expected to have 20 Multiple Choice Questions (MCQs) and 10 Numerical Value Questions.
- Out of the 10 numerical questions, only 5 must be attempted, and the rest 5 questions can be left as a choice.
- JEE Mains is conducting in 13 languages

**Paper 1 – BE/BTech Pattern**

Subject | Total No of Questions | Marks |

Mathematics | 20 MCQs and 10 Numerical Questions (Any 5 to be answered) | 100 |

Physics | 20 MCQs and 10 Numerical Questions (Any 5 to be answered) | 100 |

Chemistry | 20 MCQs and 10 Numerical Questions (Any 5 to be answered) | 100 |

Total | 90 Questions (75 Questions Mandatory) | 300 |

**Highlights of JEE Main Exam Pattern for Maths**

**Number of Questions:**Mathematics is expected to have a total of 20 MCQs and 10 numerical questions, out of which 5 are mandatory.- Language: 13 languages – Assamese, Bengali, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, Urdu, Hindi, English, and Gujarati
- Marking Scheme: 4 marks for each correct response.
- Negative Marking: 1 mark (-1) will be deducted for each incorrect response or multi-responses (only for MCQ).
- No marks will be awarded for unattempted questions.
- For Numerical value questions: 4 marks (+4) will be awarded for every correct answer, and 1 mark (-1) will be deducted for each incorrect response.

The class-wise distribution of the JEE Maths syllabus is tabulated as follows:

**JEE Main Maths Syllabus Class 11 and Class 12**

Topics From Class XI | Topics From Class XII |

Logarithms & Related Expressions | Limits, Continuity & Differentiability |

Quadratic Equations & Expressions | Method of differentiation |

Sequence & Progressions | Indefinite Integration |

Compound Angles | Definite Integration |

Trigonometric Function, Equations & Inequations | Application of Derivatives |

Solutions of Triangles | Determinants and Matrices |

Circles | Vectors |

Straight Lines & Pair of Lines | 3 Dimensional Geometry |

Binomial Theorems | Probability |

Permutations & Combinations | Differential Equations |

Sets, Relations & Functions | Area Under Curve |

Mathematical Inductions & Reasoning | Parabola, Elipse, Hyperbola |

Complex Number | |

Statistics |

Candidates can check the JEE Mains Paper 2 Mathematics Syllabus below:

- Matrices and Determinants
- Quadratic Equations
- Integral Calculus
- Limit, Continuity, and Differentiability
- Sequences and Series
- Coordinate Geometry
- Vector Algebra
- Trigonometry
- Statistics and probability
- Three-dimensional geometry
- Binomial Theorem and its simple applications
- Differential Equations
- Sets, Relations, and Functions
- Permutations and Combinations
- Mathematical Induction
- Mathematical Reasoning
- Complex Numbers

Candidates can check the best books for JEE Mains Maths preparation from the given table below:

Topic | Books and Authors |

Algebra | Algebra by Dr. S K Goyal Arihant Publications |

Differential Calculus | Differential Calculus by Amit M Agarwal (Arihant Publications) |

Integral Calculus | Integral Calculus by Amit M Agarwal (Arihant Publications) |

Coordinate Geometry | The Elements Of Coordinate Geometry by S L Loney |

Geometry | Geometry by Dr Gorakh Prasad |

Practising Problems | Play with Graphs by Amit M Agarwal (Arihant Publications) |

Trigonometry | Plane Trigonometry by S L Loney |

Understanding of Basics | Maths for Class XI and XII by R.D. Sharma |

JEE Main Maths Syllabus is one of the hardest sections of the paper. Maths is a subject that requires conceptual understanding. Candidates must practice a lot to remember all the important formulae of Maths. Embibe’s JEE Main online mock test series helps you know the current exam trend, marking scheme, etc. Note that rigorous practice of questions from JEE Main important chapters alone cannot guarantee a high score. You must focus on the JEE Main concepts as well. Otherwise, there will be chances of you losing marks.

Embibe keeps track of your performance when you take JEE Main mock tests on Embibe. It generates Personalized Practice Packs for you, which contain handpicked questions from the important chapters you are weak at. These practice packs make it easier for you to narrow down your scope for study by identifying your weak concepts from the JEE Main Important Chapters and providing the right questions you need to practice.

Here are the answers to the most frequently asked questions on JEE Mains Maths syllabus:

**Q.1:** **Will the authorised body ask questions from the Class 11 syllabus for JEE Main Mathematics? **

**Ans:** Yes, the authorised body will ask questions in JEE Main Maths from the Class 11th syllabus.

**Q.2: Are mathematical reasoning and mathematical induction the same?**

**Ans:** Math is deductive and mathematical induction is a deductive form of reasoning.

**Q.3: Is JEE Main Maths tough? **

**Ans:** JEE Main Maths is one of the most challenging subjects, and candidates must pay a lot of attention and time during the JEE Main preparation. Students must also know how to manage time and have problem-solving skills. Therefore, it will be best if they begin their JEE Main preparation with the Maths syllabus.

**Q.4: Can I take JEE without Maths? **

**Ans:** No. Candidates cannot appear for the JEE Mains exam if they do not have mathematics in their Classes 11 and 12.

**Q.5:** **Is NCERT enough while preparing for the JEE Mains Maths syllabus? **

**Ans:** NCERT is the base for JEE’s Main syllabus for Maths. Thus, candidates must be thorough with the entire mathematics syllabus to top the exam.

**Related links:**

IIIT Cut-off 2022 | JEE Main Cut-off 2022 |

JEE Main Mock Test 2022 | JEE Main Preparation 2022 |

JEE Main Syllabus 2022 | Last-Minute Tips for JEE Main 2022 |

To crack JEE Main, proper guidance and mentoring are required. Proper planning, consistent hard work, and dedication will definitely lead you to success. Use Embibe for practice tests, and improve your score.

*We hope this detailed JEE Main Mathematics Syllabus article helps you prepare for the exam. If you have any queries regarding JEE Main 2022, do reach out to us. You can write us a mail at support@embibe.com or call 1800313002020 (Toll Free) & +91-7666597555. We will be glad to help you!*

**Embibe wishes you good luck for JEE Main 2023!**